Let's go over the probability calculations from the image for each part:

1. (a) The number showing is a 4:

   • A fair die has 6 faces numbered 1 to 6.
   • The probability of any specific number, like 4, showing up is $\frac{1}{6}$.

2. (b) The number showing is an even number:

   • The even numbers on a die are 2, 4, and 6.
   • There are 3 favorable outcomes (2, 4, and 6) out of 6 possible outcomes.
   • The probability is $\frac{3}{6} = \frac{1}{2}$.

3. (c) The number showing is greater than 1:

   • The numbers greater than 1 are 2, 3, 4, 5, and 6.
   • There are 5 favorable outcomes out of 6.
   • The probability is $\frac{5}{6}$, which is already filled in correctly.

Let me know if you need further clarification on any of these, and if you have any additional questions!

Here are 5 related questions for further exploration:

1. What is the probability of rolling a number less than 3?
2. What is the probability of rolling an odd number?
3. What is the probability of rolling a prime number?
4. What is the probability of rolling a number that is divisible by 3?
5. What is the probability of rolling a 1 or a 6?

Tip: In probability, always divide the number of favorable outcomes by the total number of possible outcomes to get the correct probability.